Constructing principal polyhedra
Found 12 orbits
Orbits:
[33]
[26, 27, 31]
[18, 19, 21, 23]
[32]
[0, 1]
[10, 12, 14]
[2, 3, 4, 5]
[16, 17, 20, 22]
[28, 29, 30]
[24, 25]
[11, 13, 15]
[8, 9, 6, 7]
Constructed 12 polyhedra
Faces: [[4, 3, 4, 3, 4], [4, 6, 3, 3, 4, 3, 4, 3], [4, 4, 4, 4, 4, 4], [4, 3, 4, 3, 4], [3, 4, 4, 4, 3], [6, 3, 4, 4, 3, 4, 3, 3], [4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4], [4, 4, 3, 3, 4, 3, 6, 3], [4, 4, 3, 4, 3], [3, 4, 3, 4, 6, 3, 4, 3], [6, 4, 4, 4, 4, 4, 6, 4]]
Constructing polyhedra from one ideal class, sigmas [[w + 1:2]]
i=0, R=[21/44*w + 23/44, 1/88], 4 Rmats
Qlist = [[21/44*w + 23/44, 1/88], [21/44*w + 21/44, 1/88], [23/44*w + 23/44, 1/88], [23/44*w + 21/44, 1/88]]
Qlist indices: [0, 1, 3, 2]
Found 1 orbits with representative points [[0, 1, 2, 3]]:
Constructed 1 polyhedra
Faces: [[4, 3, 3, 3, 3]]
Constructing polyhedra from one ideal class, sigmas [[w - 2:5], [-2*w - 1:5], [2*w + 1:5], [-w + 2:5], [5:w - 2], [-w - 8:w - 2], [w + 8:w - 2], [-5:w - 2]]
i=0, R=[23/110*w - 23/110, 21/550], 4 Rmats
Qlist = [[23/110*w - 23/110, 21/550], [23/110*w + 23/110, 21/550], [-43/110*w + 43/110, 21/550], [-43/110*w - 43/110, 21/550]]
Qlist indices: [0, 26, 22, 6]
i=1, R=[16/85*w - 42/85, 1/85], 4 Rmats
Qlist = [[16/85*w - 42/85, 1/85], [16/85*w + 42/85, 1/85], [-16/85*w - 42/85, 1/85], [-16/85*w + 42/85, 1/85]]
Qlist indices: [1, 25, 18, 15]
i=2, R=[1/5*w - 1/2, 1/100], 4 Rmats
Qlist = [[1/5*w - 1/2, 1/100], [1/5*w - 1/2, 1/100], [-1/5*w + 1/2, 1/100], [-1/5*w + 1/2, 1/100]]
Qlist indices: [2, 2, 12, 12]
i=3, R=[13/55*w - 37/110, 7/220], 4 Rmats
Qlist = [[13/55*w - 37/110, 7/220], [13/55*w + 37/110, 7/220], [-47/110*w + 18/55, 7/220], [-47/110*w - 18/55, 7/220]]
Qlist indices: [3, 27, 23, 5]
i=4, R=[-2/5*w, 1/25], 4 Rmats
Qlist = [[-2/5*w, 1/25], [-2/5*w, 1/25], [2/5*w, 1/25], [2/5*w, 1/25]]
Qlist indices: [4, 4, 10, 10]
i=7, R=[-11/30*w - 1/10, 1/30], 4 Rmats
Qlist = [[-11/30*w - 1/10, 1/30], [-11/30*w + 1/10, 1/30], [11/30*w - 1/10, 1/30], [11/30*w + 1/10, 1/30]]
Qlist indices: [7, 24, 19, 9]
i=8, R=[43/110*w + 43/110, 21/550], 4 Rmats
Qlist = [[43/110*w + 43/110, 21/550], [43/110*w - 43/110, 21/550], [-23/110*w - 23/110, 21/550], [-23/110*w + 23/110, 21/550]]
Qlist indices: [8, 20, 16, 14]
i=11, R=[47/110*w + 18/55, 7/220], 4 Rmats
Qlist = [[47/110*w + 18/55, 7/220], [47/110*w - 18/55, 7/220], [-13/55*w - 37/110, 7/220], [-13/55*w + 37/110, 7/220]]
Qlist indices: [11, 21, 17, 13]
Found 8 orbits with representative points [[10, 4], [1, 18, 25, 15], [17, 13, 11, 21], [8, 16, 20, 14], [2, 12], [27, 3, 5, 23], [24, 9, 19, 7], [0, 26, 22, 6]]:
Constructed 8 polyhedra
Faces: [[3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 3, 3, 3], [3, 4, 3, 3, 3], [4, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 3, 3, 3], [3, 3, 3, 3, 4], [3, 3, 4, 3, 3]]
Constructing polyhedra from one ideal class, sigmas [[-w:3], [w:3]]
i=0, R=[-11/30*w + 1/10, 1/30], 4 Rmats
Qlist = [[-11/30*w + 1/10, 1/30], [-11/30*w - 1/10, 1/30], [11/30*w + 1/10, 1/30], [11/30*w - 1/10, 1/30]]
Qlist indices: [0, 1, 7, 6]
i=2, R=[-29/93*w - 1/31, 1/93], 4 Rmats
Qlist = [[-29/93*w - 1/31, 1/93], [-29/93*w + 1/31, 1/93], [29/93*w - 1/31, 1/93], [29/93*w + 1/31, 1/93]]
Qlist indices: [2, 3, 5, 4]
Found 2 orbits with representative points [[0, 1, 6, 7], [2, 3, 4, 5]]:
Constructed 2 polyhedra
Faces: [[3, 3, 3, 3, 4], [3, 4, 3, 3, 3]]
23 polyhedra constructed